Answer:
60% [of the students in the library are girls]
Step-by-step explanation:
To calculate the percent, take 24 and divide it by 40.
24 / 40 = 0.6
0.6 = 60%
What number makes the equation true enter the answer in the box
3x____=27
Answer:
9?
Step-by-step explanation:
3 x 9 = 27
Which of the following rational functions is graphed below?
On solving the question, we can say that second function has vertical asymptote at x=2
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found.
The function that represents the graph is f(x) = 1/x-2 .
The graph of the function
From the given graph , the vertical asymptote is at x=2
Lets find out the vertical asymptote of each function
To find out vertical asymptote we set the denominator =0
f(x) = 1/2x
2x = 0
x = 0
f(x) = 1/x-2
x-2 = 0
x = 2
The second function has vertical asymptote at x=2
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3/2-(-3/4)+1/4
solve please
Plz help...... ASAP...... PLZ??
Answer:
The option on the top right.
Step-by-step explanation:
Because this is to be done asap, I will not take time to explain.
Answer:
Answer is the option in the top right
Step-by-step explanation:
The choice in the top right has a 4 x 4 base and the triangle has a height of 6 corresponding to the figure in the top.
what is the square root of 122
A high speed train can travel 750 miles in 5 hours. Find the unit rate in miles per hour.
Answer:
150 miles per hour
Step-by-step explanation:
750 divided by 5 is 150
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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Here are four equations of absolute value functions and three coordinate pairs.
A. p(x)=[x-9] B. q(x)= [x]+9
Match the equation of each function with the coordinates of the vertex of its graph 1. (-9, 0 2. (9, 0) 3.(0, -9)
A) The vertex (h, k)=(9, 0) if p(x)=[x-9]
B) The vertex (h, k)=(0, 9) if q(x)= [x]+9
What is meant by a function?The earliest known treatment of the idea of function can be found in the writings of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were originally merely a simplified illustration of the relationship between two varying quantities. The position of a planet is just one example of how time is used. The concept was historically developed towards the end of the 17th century with infinitesimal calculus, and the functions that were taken into consideration up until the 19th century. The concept of a function was formalised in terms of set theory at the end of the 19th century, greatly extending its range of applications.
Given,
A) p(x)=[x-9]
We have to compare with f(x)=a|x-h|+k
Therefore, the vertex (h, k)=(9, 0)
B) Given,
q(x)= [x]+9
We have to compare with the above equation we get,
The vertex (h, k)=(0, 9)
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Suppose you are given a rectangular piece of cardboard having length 6x+2 inches and width 2x−4 inches. Then you cut out a square from this piece of cardboard having side length x inches. Find the area of the remaining piece of cardboard expressed in terms of x.
To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.
Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.
The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.
This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16
Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.
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pls help its an image scroll down
Answer:
D. y = 3x + 9
Step-by-step explanation:
Use the point-slope formula to find the equation in slope-intercept form.
\(y-y_1=m(x-x_1)\\\\y-33=3(x-8)\\\\y-33=3x-24\\\\y=3x+9\)
Isabel’s competition who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0. Graph the function in part e. Is your graph discrete or continuous? Explain.
Answer:
x= 1.99
f(x) = 1.99x + 3
Step-by-step explanation:
Hope this helps! (;
Solve the proportion. What is n?
Answer:
n=20
Step-by-step explanation:
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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Which negative angle is equivalent to a 75° angle?
Answer:
A) -285
Step-by-step explanation:
360-75=285
pls simplify these two problems:
Answer:
Step-by-step explanation:
1 )
\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)
2 )
\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)
Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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Martin decided to buy 3 bags of grapes weighing 4 1/5 pounds each. How much did all 3 bags of grapes weigh?
Answer:
12 3/5
Step-by-step explanation:
Answer:
12 3/5
Step-by-step explanation:
Got it right on my test.
If the sample size is nequals9, what is the standard deviation of the population from which the sample was drawn?
Answer:
13.33
Step-by-step explanation:
As in the attached diagram, we can see that the points belong to \(\mu\pm \sigma\) interval
Data provided in the question as per the details below:
\(\mu_{\bar x}\) = 440
\(\mu_{\bar x} + \sigma_{\bar x}\) = 480
So,
\(\sigma_{\bar x}\) = 480 - 440
= 40
Now the standard deviation of the population is
\(V(\bar{x}) = \frac{\sigma}{\sqrt n} \\\\ = \frac{40}{\sqrt 9}\)
= 13.33
Hence, the standard deviation of the population for which the sample is drawn is 13.33
Which camera is the farthest from the surface of the water?
Sorry if the picture is blurry! I tried my best!
Answer:
fish camera
Step-by-step explanation:
I think I took the quiz
Answer:
B hope this helps
Step-by-step explanation:
Serena added 10 grams of sugar to 20 grams of water.
She made
grams of
%
sugar syrup.
Serena added 10 grams of sugar to 20 grams of water to make a sugar syrup.
The total amount of sugar syrup made is the sum of the weight of sugar and the weight of water, so:
10 grams (sugar) + 20 grams (water) = 30 grams (sugar syrup)
To find the percentage of sugar in the syrup, we can divide the weight of the sugar by the total weight of the syrup and multiply by 100.
% sugar = (weight of sugar / total weight of syrup) * 100
% sugar = (10 / 30) * 100 = 33.333 %
So the sugar syrup made by Serena contains 33.333% sugar by weight.
It's important to note that the sugar syrup doesn't have only sugar, it also have water, the sugar is just the main ingredient and the percentage of sugar is just the proportion of sugar within the syrup.
The weights X of an animal are distributed according to the
probability distribution shown.
What is the probability that the animal's weight will be less than
151 pounds?
O 0.25
O 0.50
O 0.60
O 0.75
The probability that the animal's weight will be less than 151 pounds is 0.50.
The correct option is B.
What is the probability that the animal's weight will be less than 151 pounds?Since the given probability distribution ranges from 148 to 152, and we need to find the probability that the animal's weight will be less than 151 pounds, we can add the probabilities corresponding to the weights less than 151.
From the distribution, we see that the probability of the animal's weight being less than 151 pounds is 0.2 + 0.3 = 0.5.
Therefore, the answer is O 0.50.
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The graph of a function is shown on the coordinate plane below.
Which statement correctly describes the function on a given interval?
Answer: D
Step-by-step explanation:
I did it
The statement that correctly describes the function is:
The function is decreasing and nonlinear from x = 4 to x = 11.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
From the graph,
We see that,
The function is increasing and nonlinear from x = -7 to x = -4.
The function is constant and linear from x = -4 to x = 1.
The function is increasing and nonlinear from x = 1 to x = 4.
The function is decreasing and nonlinear from x = 4 to x = 11.
Thus,
The function is decreasing and nonlinear from x = 4 to x = 11.
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Algebra find the value of x in each figure .
Answer:
Step-by-step explanation:
the answer is c because that is what i get
Answer:
x= 23°
Step-by-step explanation:
65+ x + 2 = 90° ( right angle)
67 + x = 90
x= 90-67
x= 23°
Can someone help me on this
Answer:
39V3 Sq.units of that will help you
An herbalist is mixing a 9-kilogram batch of a medicinal blend. The blend, which costs $25.05 per kilogram to make, is made up of ground ginseng at $33.85 per kilogram and golden chia at $16.25 per kilogram. How many kilograms of each should be used to make the 9-kilogram batch?
Write your answers as whole numbers or as decimals rounded to the nearest tenth.
For 9 Kg ground ginseng needed =304.7
For 9 Kg golden chai needed =146.2
For the blend =225.5
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
given:
The blend, which costs $25.05 per kilogram.
For 9 Kg ground ginseng needed = 33.85* 9 =304.65 = 304.7
For 9 Kg golden chai needed = 16.25 * 9= 146.25=146.2
For the blend = 25.05 * 9= 225.45=225.5
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HELP PLEASE URGENT!!!
A Ferris wheel is 50 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 2 minutes. How many minutes of the ride are spent higher than 38 meters above the ground?
answer in minutes.
The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.
To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.
The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.
When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.
The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.
To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.
The formula is:
θ = arcsin(h / r)
where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).
θ = arcsin(38 / 29) ≈ 1.0918 radians
Now, we know the angle at which the Ferris wheel is 38 meters above the ground.
To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.
The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.
Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:
Fraction = θ / (2π) ≈ 1.0918 / (2π)
Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:
Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes
Calculating this expression will give us the answer in minutes.
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This is Section 3.8 Problem 20:
A rancher wants to fence an area of 1,500 square yards in a rectangular field that borders a straight river, and then divide it in half with a fence perpendicular to the river. He needs no fence along the river. The dividing fence costs half as much as the surrounding fence. How can he do this so that the cost of the fence is minimized? Follow the steps:
To minimize the cost of the fence, the rancher needs to find the dimensions of the rectangular field that will give the required area of 1,500 square yards with the least amount of fencing.
What is area?In mathematics, area refers to the measure of the size of a two-dimensional surface or region. It is the amount of space enclosed by a closed shape, such as a polygon or a circle. The units used to measure area depend on the system of measurement being used, but common units include square meters (m²), square feet (ft²), and acres. The formula to calculate the area of a rectangle is length x width, while the area of a circle can be calculated using the formula pi x radius². The area of irregular shapes can be calculated by breaking them down into smaller regular shapes, such as triangles or rectangles, and then adding up their individual areas.
Here,
To minimize the cost of the fence, the rancher needs to find the dimensions of the rectangular field that will give the required area of 1,500 square yards with the least amount of fencing. Here are the steps he can follow:
1. Let the width of the rectangular field be x yards. Then, the length of the field, in yards, is 1500/x, since the area of a rectangle is length times width.
2. Draw a diagram of the rectangular field with the river running along one side. Divide the rectangle into two equal halves with a fence perpendicular to the river, as shown:
x
+-------------+
| |
1500/x FIELD |
| |
+-------------+
x
3. The perimeter of the rectangular field, in yards, is given by:
P = 2x + 1500/x
This is the length of the fencing required to enclose the entire rectangular field, excluding the side that borders the river.
4. The cost of the fencing for the entire rectangular field is proportional to the perimeter P. Let C be the cost of fencing per yard for the fence along the sides of the rectangular field, and let the cost of fencing per yard for the dividing fence be C/2. Then, the total cost of fencing is given by:
Total Cost = C(2x + 1500/x) + (C/2)(2 * 1500/x)
Simplifying this expression, we get:
Total Cost = 2Cx + 1500C/x + 750C/x
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U= {1,2,3,4,5,6,7,8,}, A={1,4,5,7}, B= {2,5,6,7,}, and C= {3,4,6,7}
Complete the following set operations:
a. AU(BUC)
b. (AN(BNC))'
c. (ANB)U(ANC)
d. (ANB')U(ANC')
Answer:
a. {1, 2, 3, 4, 5, 6, 7}
b. {1, 2, 3, 4, 5, 6, 8}
c. {4, 5, 7}
d. {1, 4, 5}
Step-by-step explanation:
The union of two sets is the list of elements in either set. The intersection of two sets is the list of elements in both sets. The complement of a set is the list of elements in the universal set that are not in the set being complemented. The complement of a set can be indicated with an apostrophe: A' is the complement of set A, for example.
a. AU(BUC)B∪C = {2, 5, 6, 7} ∪ {3, 4, 6, 7} = {2, 3, 4, 5, 6, 7}
A∪(B∪C) = {1, 4, 5, 7} ∪ {2, 3, 4, 5, 6, 7} = {1, 2, 3, 4, 5, 6, 7}
b. (AN(BNC))'B∩C = {2, 5, 6, 7} ∩ {3, 4, 6, 7} = {6, 7}
A ∩ (B∩C) = {1, 4, 5, 7} ∩ {6, 7} = {7}
(A∩(B∩C))' = {7}' = {1, 2, 3, 4, 5, 6, 8}
c. (ANB)U(ANC)A∩Β = {1, 4, 5, 7} ∩ {2, 5, 6, 7} = {5, 7}
Α∩C = {1, 4, 5, 7} ∩ {3, 4, 6, 7} = {4, 7}
(A∩B)∪(A∩C) = {5, 7} ∪ {4, 7} = {4, 5, 7}
d. (ANB')U(ANC')(A∩B')∪(A∩C') = A∩(B'∪C') = A∩(B∩C)'
(B∩C)' = {6, 7}' = {1, 2, 3, 4, 5, 8}
A∩(B∩C)' = {1, 4, 5, 7} ∩ {1, 2, 3, 4, 5, 8} = {1, 4, 5}
__
Additional comment
In part (d) we made use of De Morgan's law for sets:
B'∪C' = (B∩C)'
We also made use of the distributive property for sets:
A∩(B∪C) = (A∩B)∪(A∩C)
The points J (9,7), K (2,1), L(0,−8) and M (7,−2) form quadrilateral JKLM.
Plot the points
slope of JK =
length of JK =
slope of KL =
length of KL =
slope of LM =
length of LM =
slope of MJ =
length of MJ =
Quadrilateral JKLM can BEST be described as
Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.
To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:
J(9, 7) K(2, 1)
L(0, -8) M(7, -2)
To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.
Slope of JK:
Slope (m) = (change in y) / (change in x)
m(JK) = (7 - 1) / (9 - 2) = 6/7
Length of JK:
Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]
d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85
Slope of KL:
m(KL) = (-8 - 1) / (0 - 2) = -9/2
Length of KL:
d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85
Slope of LM:
m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)
Length of LM:
d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85
Slope of MJ:
m(MJ) = (7 - (-2)) / (9 - 7) = 9
Length of MJ:
d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40
Based on the calculations, we can describe quadrilateral JKLM as follows:
The slope of JK and LM is 6/7.
The slope of KL is -9/2.
The slope of MJ is 9.
The length of each side (JK, KL, LM, MJ) is √85.
The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.
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How many spaces does it move over
Answer:
The point at the bottom has to move over 2 to the left to be aligned with the point at the top however they will have a 3 space in between the 2 same for the point at the top, the top point moves over 2 to the right to be aligned with the bottom point, then they will have a 3 square space between each other.
Answer:Around 3 spaces between?
Step-by-step explanation: